Loss of Linearity and Symmetrisation in Regulatory Networks

J. Demongeot, E. Ch., Sylvain Sené
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引用次数: 6

Abstract

This article aims at giving some new theoretical properties of threshold Boolean automata networks which are good mathematical objects to model biological regulatory networks. The objective is the emphasis of a necessary condition for which these networks, when they are governed by a non-linear evolution law, are sensitive to the influence of boundary conditions. Then, this paper opens an argued discussion about the notion of "symmetrisability'' of regulatory networks which is relevant to understand some specific dynamical behaviours of real biological networks, and shows that this notion allows to explain an important feature of the \emph{Arabidopsis thaliana} floral morphogenesis model.
调控网络中线性和对称性的损失
本文旨在给出阈值布尔自动机网络的一些新的理论性质,它是模拟生物调控网络的良好数学对象。目标是强调一个必要条件,当这些网络受非线性演化规律控制时,它们对边界条件的影响敏感。然后,本文对调控网络的“对称性”概念进行了有争议的讨论,这一概念与理解真实生物网络的某些特定动态行为有关,并表明这一概念可以解释\emph{拟南芥}花形态发生模式的一个重要特征。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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